Contractions from $osp(1|32) \oplus osp(1|32)$ to the M-theory superalgebra extended by additional fermionic generators
High Energy Physics - Theory
2019-05-01 v1 Mathematical Physics
math.MP
Abstract
We study here the generalized Weimar-Woods contractions of the superalgebra in order to obtain a suitable algebra that could describe the gauge group of supergravity. The contracted superalgebras are assumed to be given in terms of fermionic extensions of the M-theory superalgebra. We show that the only superalgebra of this type obtained by contraction is the only one for which the three-form of supergravity cannot be trivialized. Therefore, supergravity cannot be connected in this way with a contraction of .
Keywords
Cite
@article{arxiv.1504.05946,
title = {Contractions from $osp(1|32) \oplus osp(1|32)$ to the M-theory superalgebra extended by additional fermionic generators},
author = {J. J. Fernandez and J. M. Izquierdo and M. A. del Olmo},
journal= {arXiv preprint arXiv:1504.05946},
year = {2019}
}